Measurement: Its Concepts, Theories and Problems

Abstract

1. Introduction.- 2. Measurement.- 2.1. The Explication of the Concept of Measurement.- 2.2. The Definition of the Concept of Measurement.- 2.3. The Subject Matter, Function and Scope of Measurement.- 3. Magnitudes.- 3.1. Quantities, Magnitudes, Numbers: A Historical Excursion.- 3.2. Quantities and Magnitudes.- 3.3. The Object of Measurement.- 3.4. Measurement Units, Naming and Dimension.- 3.5. The Classification of Magnitudes.- 4. Scales.- 4.1. The Concept of a Scale.- 4.2. The Origin of a Scale.- 4.3. Distance.- 5. Quantification.- 5.1. Scaling.- 5.2. Counting.- 6. Theory of Measurement.- 6.1. Representation Theories of Measurement.- 6.2. Kinds of Measurement.- 6.3. Metrization.- 6.4. The Representation Theorem.- 7. Theory of Scales.- 7.1. The Classification of Scale Types.- 7.2. Scale Transformations and the Uniqueness Theorem.- 8. Methodological Problems of Measurement.- 8.1. Axiomatization of the Systems of Measurement.- 8.2. Empirical Relations and Operations.- 8.3. The Precision of Measurement.- 8.4. Meaningfulness, Validity and Reliability.- 9. Philosophical Problems of Measurement.- 9.1. Materialist Foundations of Measurement.- 9.2. The Possibilities and Limits of Measurement.- Notes.- Index of Personal Names.- Index of Subjects.

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